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Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x² - 4x + 8. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. $ per item b. Find the average rate of change of profit as x changes from 2 to 3. $ per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = 2. (This number is called the marginal profit at x=2.) $ per item

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x² - 4x + 8. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. $ per item b. Find the average rate of change of profit as x changes from 2 to 3. $ per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = 2. (This number is called the marginal profit at x=2.) $ per item

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x² - 4x + 8. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. $ per item b. Find the average rate of change of profit as x changes from 2 to 3. $ per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = 2. (This number is called the marginal profit at x = 2.) $ per item
Transcribed Image Text:Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x² - 4x + 8. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 2 to 4. $ per item b. Find the average rate of change of profit as x changes from 2 to 3. $ per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x = 2. (This number is called the marginal profit at x = 2.) $ per item
What does this result mean? Choose the correct answer below. A. When 2 items are sold, the profit is decreasing at the rate of $ B. When items are sold for $ C. When 2 items are sold, the D. When items are sold for $ d. Find the marginal profit at x = 4. per item per item. the profit is decreasing at the rate of $2 per item. profit is increasing at the rate of $ per item. the profit is increasing at the rate of $2 per item.
Transcribed Image Text:What does this result mean? Choose the correct answer below. A. When 2 items are sold, the profit is decreasing at the rate of $ B. When items are sold for $ C. When 2 items are sold, the D. When items are sold for $ d. Find the marginal profit at x = 4. per item per item. the profit is decreasing at the rate of $2 per item. profit is increasing at the rate of $ per item. the profit is increasing at the rate of $2 per item.
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